A single argument may be a substitution instance of more than one argument form. As long as there exists some set of statements or noun phrases that you can plug into the argument form to yield the argument in question, the argument will be a substitution instance of that argument form. Consider the following given argument, which is a substitution instance of more than one argument form. Determine whether the given argument is a substitution instance of each argument form shown next. For each argument form, indicate whether the given argument is a substitution instance of that form.
Given Argument
If your alarm clock does not work, then either you will not be on time for work or you will not have time to eat breakfast. It is not the case that either you will not be on time for work or you will not have time for breakfast. Therefore, it is false that your alarm clock does not work.
Argument Form A
P1: If not C, then either not A or not B.
P2: Not either not A or not B.
C: Not not C.
The given argument a substitution instance of Argument Form A.
Argument Form B
P1: If not C, then either A or B.
P2: Not either A or B.
C: Not not C.
The given argument a substitution instance of Argument Form B.
Argument Form C
P1: If A, then D.
P2: Not D.
C: Not A.
The given argument a substitution instance of Argument Form C.
Argument Form D
P1: If not A, then D.
P2: Not D.
C: Not not A.
The given argument a substitution instance of Argument Form D.
Argument Form E
P1: If not C or not A, then not B.
P2: Not not B.
C: Not either not C or not A.
The given argument a substitution instance of Argument Form E.
Argument Form F
P1: If C, then either not A or not B.
P2: Not either not A or not B.
C: Not C.
The given argument a substitution instance of Argument Form F.